Search a number
-
+
4685376 = 263231061
BaseRepresentation
bin10001110111111001000000
322211001010110
4101313321000
52144413001
6244231320
754552663
oct21677100
98731113
104685376
112710213
12169b540
13c80817
1489d6da
156283d6
hex477e40

4685376 has 56 divisors (see below), whose sum is σ = 12947904. Its totient is φ = 1492480.

The previous prime is 4685341. The next prime is 4685389. The reversal of 4685376 is 6735864.

It is a super-2 number, since 2×46853762 = 43905496522752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3886 + ... + 4946.

Almost surely, 24685376 is an apocalyptic number.

4685376 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4685376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6473952).

4685376 is an abundant number, since it is smaller than the sum of its proper divisors (8262528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4685376 is a wasteful number, since it uses less digits than its factorization.

4685376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1089 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 4685376 is about 2164.5729370941. The cubic root of 4685376 is about 167.3329559134.

The spelling of 4685376 in words is "four million, six hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1061 1104 1472 2122 2208 3183 4244 4416 6366 8488 12732 16976 24403 25464 33952 48806 50928 67904 73209 97612 101856 146418 195224 203712 292836 390448 585672 780896 1171344 1561792 2342688 4685376